Quantum Transport: Introduction to Nanoscience

by
Edition: 1st
Format: Hardcover
Pub. Date: 2009-06-30
Publisher(s): Cambridge University Press
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Summary

This textbook is a comprehensive introduction to the rapidly developing and diverse field of quantum transport, which is seemingly contains seemingly contradicting concepts - quantum and classical, conduction and insulating - within a single nanodevice.. The authors present the broad theoretical background, and explore the groundbreaking experiments that laid the foundations of the field. Ideal for graduate students, each section contains control questions and exercises to check readers' understanding of the topics covered. Its broad scope and in-depth analysis of selected topics will appeal to researchers and professionals working in nanoscience.

Author Biography

Yuli V. Nazarov is a theorist at the Kavli Institute of Nanoscience, Delft University of Technology. He obtained his Ph.D. from the Landau Institute for Theoretical Physics in 1985, and has worked in the field of quantum transport since the late 1980s. Yaroslav M. Blanter is an Associate Professor in the Kavli Institute of Neuroscience, Delft University of Technology. Previous to this, he was a Humboldt Fellow at the University of Karlsruhe and a Senior Assistant at the University of Geneva.

Table of Contents

Prefacep. vii
Introductionp. 1
Scatteringp. 7
Wave properties of electronsp. 7
Quantum contactsp. 17
Scattering matrix and the Landauer formulap. 29
Counting electronsp. 41
Multi-terminal circuitsp. 49
Quantum interferencep. 63
Time-dependent transportp. 81
Andreev scatteringp. 98
Spin-dependent scatteringp. 114
Classical and semiclassical transportp. 124
Disorder, averaging, and Ohm's lawp. 125
Electron transport in solidsp. 130
Semiclassical coherent transportp. 137
Current conservation and Kirchhoff rulesp. 155
Reservoirs, nodes, and connectorsp. 165
Ohm's law for transmission distributionp. 175
Spin transportp. 187
Circuit theory of superconductivityp. 193
Full counting statisticsp. 205
Couloumb blockadep. 211
Charge quantization and charging energyp. 212
Single-electron transfersp. 223
Single-electron transport and manipulationp. 237
Co-tunnelingp. 248
Macroscopic quantum mechanicsp. 264
Josephson arraysp. 278
Superconducting islands beyond the Josephson limitp. 287
Randomness and interferencep. 299
Random matricesp. 299
Energy-level statisticsp. 309
Statistics of transmission eigenvaluesp. 324
Interference correctionsp. 336
Strong localizationp. 363
Qubits and quantum dotsp. 374
Quantum computersp. 375
Quantum goodiesp. 386
Quantum manipulationp. 397
Quantum dotsp. 406
Charge qubitsp. 427
Phase and flux qubitsp. 436
Spin qubitsp. 445
Interaction, relaxation, and decoherencep. 457
Quantization of electric excitationsp. 458
Dissipative quantum mechanicsp. 470
Tunneling in an electromagnetic environmentp. 487
Electrons moving in an environmentp. 499
Weak interactionp. 513
Fermionic environmentp. 523
Relaxation and decoherence of qubitsp. 538
Relaxation and dephasing of electronsp. 549
Survival kit for advanced quantum mechanicsp. 562
Survival kit for superconductivityp. 566
Unit conversionp. 569
Referencesp. 570
Indexp. 577
Table of Contents provided by Ingram. All Rights Reserved.

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